Github user srowen commented on a diff in the pull request:

    https://github.com/apache/spark/pull/16344#discussion_r93215941
  
    --- Diff: 
mllib/src/main/scala/org/apache/spark/ml/regression/GeneralizedLinearRegression.scala
 ---
    @@ -592,6 +629,59 @@ object GeneralizedLinearRegression extends 
DefaultParamsReadable[GeneralizedLine
       }
     
       /**
    +    * Tweedie exponential family distribution.
    +    * The default link for the Tweedie family is the log link.
    +    */
    +  private[regression] object Tweedie extends Family("tweedie") {
    +
    +    val defaultLink: Link = Log
    +
    +    var variancePower: Double = 1.5
    +
    +    override def initialize(y: Double, weight: Double): Double = {
    +      if (variancePower > 1.0 && variancePower < 2.0) {
    +        require(y >= 0.0, "The response variable of the specified Tweedie 
distribution " +
    +          s"should be non-negative, but got $y")
    +        math.max(y, 0.1)
    +      } else {
    +        require(y > 0.0, "The response variable of the specified Tweedie 
distribution " +
    +          s"should be non-negative, but got $y")
    +        y
    +      }
    +    }
    +
    +    override def variance(mu: Double): Double = math.pow(mu, variancePower)
    +
    +    private def yp(y: Double, mu: Double, p: Double): Double = {
    +      (math.pow(y, p) - math.pow(mu, p)) / p
    +    }
    +
    +    // Force y >= 0.1 for deviance to work for (1 - variancePower). see 
tweedie()$dev.resid
    +    override def deviance(y: Double, mu: Double, weight: Double): Double = 
{
    +      2.0 * weight *
    +        (y * yp(math.max(y, 0.1), mu, 1.0 - variancePower) - yp(y, mu, 2.0 
- variancePower))
    +    }
    +
    +    // This depends on the density of the tweedie distribution. Not yet 
implemented.
    +    override def aic(
    +        predictions: RDD[(Double, Double, Double)],
    +        deviance: Double,
    +        numInstances: Double,
    +        weightSum: Double): Double = {
    +      0.0
    +    }
    +
    +    override def project(mu: Double): Double = {
    +      if (mu < epsilon) {
    +        epsilon
    +      } else if (mu.isInfinity) {
    +        Double.MaxValue
    --- End diff --
    
    Out of curiosity is this meaningful to "cap" at Double.MaxValue? By the 
time you get there a lot of stuff is going to be infinite or not meaningful.


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